data:
- - Ciso: 171a
    Clabel: 171a4
    Cnumber: 4
    abc_quality: 0.9747386105988611
    absD: 285012027
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 456
    ainvs:
    - 1
    - -1
    - 1
    - 76
    - -790
    analytic_rank: 0
    bad_primes:
    - 3
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 171
    degree: 48
    elladic_images:
    - 4.12.0.8
    faltings_height:
      __RealLiteral__: 0
      data: '0.30429748213122875202819024859'
      prec: 103
    faltings_index: 3
    faltings_ratio: 4
    id: 602
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 67419143
    - 390963
    lmfdb_iso: 171.a
    lmfdb_label: 171.a4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 1
    - 8
    - 29
    min_quad_twist_disc: -3
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.2
    - 6.6.0.a.1
    - 12.24.0-12.g.1.1
    - 152.24.0.?
    - 456.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 0
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.24500866220282609366943236987'
      prec: 107
    szpiro_ratio: 5.215749745602377
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - 0
    - -1
    - 2
    - 0
    - 0
    - 3
    - 0
    - -2
    - 0
    - 0
    - 6
    - 0
    - 0
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    - 6
    - 0
    - -1
    - -2
    aplist:
    - -1
    - 0
    - 2
    - 0
    - 0
    - 6
    - 6
    - -1
    - -4
    - -2
    - 8
    - -10
    - 2
    - -4
    - -12
    - 6
    - 12
    - -2
    - -4
    - 0
    - 10
    - 0
    - -16
    - 2
    - 10
    class_deg: 4
    class_size: 4
    conductor: 171
    id: 215
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 171.a
    trace_hash: 679434992409306156
- - area:
      __RealLiteral__: 0
      data: '0.54411483303622839218427142867'
      prec: 103
    conductor: 171
    gens: []
    heights: []
    id: 602
    lmfdb_label: 171.a4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.86836134047839452207664078170'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.86836134047839452207664078170361972629'
      prec: 133
    tamagawa_product: 4
    torsion_generators:
    - - 27
      - -31
      - 2
    xcoord_integral_points: []
- - id: 602
    iwdata:
      '19':
      - 0
      - 0
      '2':
      - 5
      - 2
      '3': a
    iwp0: 3
    lmfdb_label: 171.a4
- - degree: 2
    field:
    - -3
    - 0
    - 1
    id: 6800
    lmfdb_label: 171.a4
    torsion:
    - 4
  - degree: 2
    field:
    - 1
    - -1
    - 1
    id: 6799
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 1
    - 0
    - 1
    id: 6801
    lmfdb_label: 171.a4
    torsion:
    - 4
  - degree: 4
    field:
    - 1
    - 0
    - -1
    - 0
    - 1
    id: 6803
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 3
    - 0
    - -3
    - 0
    - 1
    id: 6802
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 1
    - -4
    - 8
    - -10
    - 7
    - -2
    - 2
    - -2
    - 1
    id: 6804
    lmfdb_label: 171.a4
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 3
    - -12
    - 21
    - -21
    - 12
    - -3
    - 4
    - -4
    - 1
    id: 6807
    lmfdb_label: 171.a4
    torsion:
    - 6
  - degree: 8
    field:
    - 16
    - 0
    - 0
    - 0
    - -11
    - 0
    - 0
    - 0
    - 1
    id: 6805
    lmfdb_label: 171.a4
    torsion:
    - 8
  - degree: 8
    field:
    - 144
    - 0
    - 0
    - 0
    - 33
    - 0
    - 0
    - 0
    - 1
    id: 6806
    lmfdb_label: 171.a4
    torsion:
    - 8
  - degree: 16
    field:
    - 1
    - 0
    - 8
    - 0
    - 46
    - 0
    - 89
    - 0
    - 73
    - 0
    - 89
    - 0
    - 46
    - 0
    - 8
    - 0
    - 1
    id: 6813
    lmfdb_label: 171.a4
    torsion:
    - 12
  - degree: 16
    field:
    - 9
    - 0
    - 0
    - 0
    - -72
    - 0
    - 0
    - 0
    - 141
    - 0
    - 0
    - 0
    - 24
    - 0
    - 0
    - 0
    - 1
    id: 6808
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 9
    - 0
    - 33
    - 0
    - 103
    - 0
    - 66
    - 0
    - 39
    - 0
    - 22
    - 0
    - 6
    - 0
    - 0
    - 0
    - 1
    id: 6811
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 256
    - 0
    - 0
    - 0
    - 176
    - 0
    - 0
    - 0
    - 105
    - 0
    - 0
    - 0
    - 11
    - 0
    - 0
    - 0
    - 1
    id: 6810
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 729
    - 0
    - -957
    - 0
    - 37
    - 0
    - 888
    - 0
    - 18
    - 0
    - -217
    - 0
    - 15
    - 0
    - 3
    - 0
    - 1
    id: 6812
    lmfdb_label: 171.a4
    torsion:
    - 12
  - degree: 16
    field:
    - 20736
    - 0
    - 0
    - 0
    - -4752
    - 0
    - 0
    - 0
    - 945
    - 0
    - 0
    - 0
    - -33
    - 0
    - 0
    - 0
    - 1
    id: 6809
    lmfdb_label: 171.a4
    torsion:
    - 2
    - 8
- - conductor: 171
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 1325
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 171.a4
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 171
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 1326
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 171.a4
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 7
      - 6
      - 450
      - 451
    - - 97
      - 8
      - 388
      - 33
    - - 1
      - 0
      - 8
      - 1
    - - 296
      - 453
      - 299
      - 454
    - - 449
      - 8
      - 448
      - 9
    - - 403
      - 402
      - 298
      - 67
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 179
      - 172
      - 218
      - 405
    adelic_image: 456.48.0.?
    conductor: 171
    id: 1666462
    lmfdb_label: 171.a4
    prime: 0
  - conductor: 171
    elladic_image: 4.12.0.8
    id: 687
    lmfdb_label: 171.a4
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 171.a4
- 171.a
- 171.a4
- 171.a4
- 171.a4
- 171.a4
- 171.a4
- 171.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-16T06:15:26.799670'